Allied & ICAR Exam Bank • ALLIED_1018 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Runge-Kutta methods

Question Statement:

The classical fourth-order Runge-Kutta method (RK4) for solving $\frac{dy}{dx} = f(x, y)$ has a local truncation error of order:

Options:

  • (A) O(h^5)
  • (B) O(h^4)
  • (C) O(h^3)
  • (D) O(h^2)

Answer Key:

A

Step-by-Step Solution & Explanation

The local truncation error of RK4 is $O(h^5)$, which accumulates over the entire interval to give a global truncation error of $O(h^4)$.
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